{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5658bc0e-cb36-4a5e-897c-a51b26ae493c",
   "metadata": {},
   "source": [
    "Chapter 11\n",
    "# 用Matplotlib生成平面等高线\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "23a1da73-7d3e-4acf-8305-cdb0bb2a1136",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fa16a4f9-4ba8-4cfb-a83b-4205d720f049",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成数据\n",
    "x1_array = np.linspace(-3,3,121)\n",
    "x2_array = np.linspace(-3,3,121)\n",
    "\n",
    "xx1, xx2 = np.meshgrid(x1_array, x2_array)\n",
    "ff = xx1 * np.exp(- xx1**2 - xx2 **2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0bc829ff-16da-46e6-893c-38e1eff6f0af",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 等高线\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "CS = ax.contour(xx1, xx2, ff, levels = 20,\n",
    "                cmap = 'RdYlBu_r', linewidths = 1)\n",
    "\n",
    "fig.colorbar(CS)\n",
    "ax.set_xlabel('$\\it{x_1}$'); ax.set_ylabel('$\\it{x_2}$')\n",
    "ax.set_xticks([]); ax.set_yticks([])\n",
    "ax.set_xlim(xx1.min(), xx1.max())\n",
    "ax.set_ylim(xx2.min(), xx2.max())\n",
    "ax.grid(False)\n",
    "ax.set_aspect('equal', adjustable='box')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "81134c1d-20ee-43ac-9164-2cbf978d315d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6VuW6zJFxOnUbHVU48gwBnieCEt5BDe7BjI7Plyo8TyvOoHzZIMSRT9jEhiR2wzssWrvO2b7dzK93hNsNw/OfnDB87ojrxtnqazBbm9xcuMUMCDsCPA84VX0HKbxbOroNnTdx/CjLfRgJ8UDsSB/ESnibCexc1zoR6Im2w76GOLvSkS8I8JDLl/A2GtjZrrMS5k5U4o7JMX1uNrztBLeRNu2EOSEO2EeAw3J4+xncudoyE+ZehrjVNVgz4e1GcGfrx2qQ+x3iQNixiS3E/LwX2U54t3R0D3zc4mT7nmxmc2jzmlfhPbRPq/1aXs934L8XG9oQdgR4gbMSTlbD2+3QztSnEUHegGck5OyEqFM8D3GgwBHgIeVE9e11ePvFzRB3exbEaHgHhdUvEpZCnCocBY4AD6EwhbcfVXemcdgR1PefBym8ByPEAfcR4DDEangHiZHx+DKVniGEcgVaUMO7n5VqnOl0wDgCPGT8qr7NClp49/NzXE5WelbCu/f3pyx9vB6r6RCnCocL1q1bpylTpqikpERVVVXatm1bxnPb29u1ZMkSTZ06VZdddplWrlzpyRi5jazAuD117kRAHjzcZer8yRVRU+e3dHRnvc0s021lQXuoi1F2Q3jw9UXXjrbUxvlPTjj6VLcU3FoGB23evFkrV67UunXrdPvtt2v9+vVasGCBfvvb32rixIkp5/f09Oiqq67SM888o+9973uejZMKPET8uG3Mq/A+eLhr4OPFtYGZIbAwfW60onWqgk7XppV2zVTiTKXDT88//7weffRRLV26VNOnT9fatWtVWVmpl156Ke35kydP1gsvvKCHH35YsVjMs3ES4AXEbPXtRXhbDW0n2gtMiJtgJrzdFrgQtzmVzjR6/uvq6kr69PT0pJzT29urXbt2qaamJul4TU2NGhsbvRqqIUyhh4TX1bfb4e1kaGdq3+zU+mB+PmLVTvXpRXCn68/M1LqZ6XTLT2tD/hhfLo263F4b3X+SJFVWViYdrq2tVV1dXdKx48ePq6+vT+Xl5UnHy8vL1dHRYW8cDiPAC4RbG9fMhrfbwT20r1whnms9fKh06+BevZUsV/XqdXgP7dutEDfF5lo4z0jPb62trYpG//JvQnFxccZzI5FI0s+JRCLlmN+YQi8Abk2dBzm8B/eZq99Mf0eQn842lJ/hPXgMZsZhdDqd9XA4JRqNJn3SBXhpaamGDRuWUm0fPXo0pSr3GwEeAl5On7sVWn6Ed5D6TyvNmm2msMoWdkEI78F8D3HWwmFDUVGRqqqq1NDQkHS8oaFBc+fO9WlU6TGFnuf8njoPZHCmYXYqPSishvepA7mvGz1ltKW2JfNT6kCQrFq1SvF4XLNmzVJ1dbU2bNiglpYWLV++XJK0evVqtbW1aePGjQPXNDc3S5JOnz6tY8eOqbm5WUVFRbrhhhtcGycBHnBBrL69Cu/2Q6ey/n7CpNGm2rOysS0I7wt36olrRkI70/lWwtxoiBtdDze1oY37wmHDokWLdOLECT333HNqb2/XjBkztGXLFk2adOnf4/b2drW0tCRdc8sttwz87127duntt9/WpEmTdPDgQdfGSYDnMTeqb7fDO1doZzrXaJhnC3GjVXhQHuhitPo2G9zZ2jAb5E6HuFfYzIYnnnhCTzzxRNrfvf766ynHEomEyyNKxRo4JDm79m0lvNsPnTIV3nau92Na38i6arp13kzVt5HwPnXglCPhbbdNJ9fovVwLB4KOAA8wr6bPnZw6NxuOdoM7XXtwpurO1b6ZPoyEeNBezsJmNgQdAZ6nnJ4+d+OpZW6FrZEvBZm+aKT7O13ZmW+jOswVhm6Ht9W+nApxqnDgEgK8wPkxde501Z2tnzCzUpF6Gd5+9gmAAA8sO9PnflTfZsLbS9n6C9ItbkarymxVrJ9BarRvX6pwIE8R4LAtqOFtVRhfchKEKtjJEHeUjWl01sERZNxGVsCMTJ87FWZ+hnf7oVMZbzOz+tITt28lS1eFOhl8xw+dzfr70klXWGr31IFTth4A08/IbWW86ASFjgAPoCBNn+dipPq2E95HD6a/tmzyaFPtZAtxI3I90MWrF5qkY6b6zhXc6c4zG+ZGQtzzJ7XxYBfkIQK8QDlRfbsV3plCO9M5ZsN8KLuvHg0Do8Gd7VozQe5EJR6Uh7vwUBcEFWvgCIyjB08ZCm+r15n5MuHlOriRDVmZps+NVN92wntoO2bayjU2J5YE2MyGQkaA5xEnp8+9rr6tBLeVNgKxkS7HpionH2jiVHi71WauEA/aw12AICHAA8aLp6958Z5rr8PbbltBuqXMqFwVrhvhbbZtL3bHG67CeagL8gwBjhROVN9GWJ0yN9JuNoGowk2wMtXsZnh72UdQcDsZgogAzxNe7z7PxkhAuhHcTrc/9IuMFzMXRmWrbL0MViN92V0LZxodSI9d6AXG7RAKW3UL+44fOptzh7pT94ej8ERGT1Akau25BANtDMvP2SIq8ADx6u1j2Xgxfe529W2kn3RfNIKwDm632gzrtLbdHemsg6MQEeBwTBCmzv3uz2npgi0Ij00dyu0vDkyjA6kI8AJid/o8CBVqkDix78DJ+5iDXn0H8YsHEGasgeeBIG1gyyZo1bDdx6uGWVtbIuvvr746YrpNI2vh2Xj+eFWTeCIbgoYAxwA7Tx/LNX1uNbzP/OFkxt+N/OwYQ20cPXjK9uNWg85M9Z0rvAefYzbIc4W4m5vZeLkJCg1T6DDE6+nzM384mTW8+89x2tC/M2ivFrU7DW0kvO2c7ybH1sHZyIY8QYDDNqerbzPBbPRcP6fvg/IQEKthHKQQB/AXBHhAuH0LWZAeQpKNlarajUo8TIxMn9sNYTPX29lM5+Q7z4F8R4CHnFMb2IIwVWwniK1eG+QHzzgVZk5V0E61w250wBkEOFwVtJ3ndrk5k8G9zgDMIMCRU7YNbE5VsE5Mg+dqI+xfJqxUrk6vXxttz6170nN9yeH94CgkBDgAGBSUDYmARIAjAJzchFZoG9r8ePqaE1V9ttkENrIBxhDgcE3Yp6yRx7gXHHnAUoD/6U9/UltbW8rx3/zmN7YHhMISxIo5X575zv3bQH4zHeA//vGPdf311+u+++7TzJkztWPHjoHfxeNxRwcHILyC/nIVIJt169ZpypQpKikpUVVVlbZt25b1/F/84heqqqpSSUmJPvOZz+jll192fYymA/zb3/62du/erf/93//VD37wA33961/X22+/LUlKJPjGH0ZBuAe8YOTJ1C3VPfLZ5s2btXLlSj3zzDPas2eP5s2bpwULFqilpSXt+QcOHNB9992nefPmac+ePXr66af15JNP6r/+679cHafpl5mcP39eV111lSRp1qxZ+uUvf6kvfvGL+v3vf69IxPwbjOC+sDyFDQCC4Pnnn9ejjz6qpUuXSpLWrl2rrVu36qWXXtKaNWtSzn/55Zc1ceJErV27VpI0ffp07dy5U9/97nf1pS99ybVxmq7Ay8rKtHfv3oGfx40bp4aGBu3bty/pOBBE6TbWBflpbACc09XVlfTp6elJOae3t1e7du1STU1N0vGamho1NjambXf79u0p58+fP187d+7U+fPnnfsDhjBcgXd3d2vUqFF64403NHx48mVFRUXatGmTVqxY4fgAAbPO/OGk4VeNAgi2P42o1IgRV9ps47QkqbKyMul4bW2t6urqko4dP35cfX19Ki8vTzpeXl6ujo6OtO13dHSkPf/ChQs6fvy4JkyYYGv8mRgO8Hnz5qm+vl7XXHNNxnNuv/12RwYF2EF4A0intbVV0Wh04Ofi4uKM5w5dEk4kElmXidOdn+64kwxPoc+aNUuzZ8/Wxx9/nHR8z549uu+++xwfGJxTGS3xewiBUTZ5dMqxCZNSjwHIP9FoNOmTLsBLS0s1bNiwlGr76NGjKVV2v/Hjx6c9f/jw4Ro3bpxzf8AQhgP81Vdf1de//nX99V//tT744AP97ne/00MPPaRZs2Zl/RaD4Js4fpTfQygcLk2lAXBGUVGRqqqq1NDQkHS8oaFBc+fOTXtNdXV1yvnvvfeeZs2apREjRrg2VlO70Gtra1VUVKR77rlHfX19mj9/vj766CPdeuutbo0PQABdfXXuacHSSVd4MBLAeatWrVI8HtesWbNUXV2tDRs2qKWlRcuXL5ckrV69Wm1tbdq4caMkafny5XrxxRe1atUqLVu2TNu3b9drr72mTZs2uTpOwwHe3t6uNWvW6NVXX9UNN9ygjz/+WIsXLya8YcvIz44J5NPYABSuRYsW6cSJE3ruuefU3t6uGTNmaMuWLZo0aZKkS3k4+J7wKVOmaMuWLfqHf/gHff/731dFRYX+/d//3dVbyCQTAf6Zz3xG06ZN049+9CPdf//92rp1qx566CF9+umn+uY3v+nmGAFPTa6I5j4pBK6+OsIDVwCLnnjiCT3xxBNpf/f666+nHLvjjju0e/dul0eVzHCA//CHP9TixYsHfp4/f77ef/99LVy4UIcOHdK6detcGSDCq2zyaM9faMIOdPcZmT7PZfSU0Rl/V3Rt5t85hr0IyAOGN7ENDu9+t956qxobG/Xzn//cyTGhwBC61rHO7K3ImAq/hwAMsP060cmTJ+tXv/qVE2NBCAXpFqx8/yKQrWrNxIlqOUhGXJf9lpzI1QQsCocj7wMfMya//+EsdHbWhNPdd52OF+FrdCzZuHlPfa5wCgKjXwiYGQDc50iAwz8VV/b5PQTH2AnxfK++7ci3KhzAJQR4gchVORbqw1yCtAQwlNHNXF5Vu059EbCyFAAgFQEeEGOKDvk9BMtyhaCZqeuRnx1jupqm+s7Nbviaud7OFwpPdqADeYIAhyFe3xttJJTNhL0T699WBWXnstUQZwoeCCYCHJ6wEqCZAtpKlW7U0C8qQVtasDv9bCaMr746Yjq8c1Xfdsbv2A507gFHnjD1LHTkt4njR6mlo9vStRMmjVb7oVPODujP7IZ1pi8PQV7/Nqt00hU6fuisoXMHh3K6J7VRcQPhQAWeB4zuRLd7C5TdaXQ/p7Hd4MQdAH7ft9xfZQ/+WGV3M13Q17+DshQC9CPA4ZggVrRh/9JgJtSCfu+1m9PnQCEiwAMkCDvR3V7zDUqgBvHLhmQsqIJ4G1a+V99AEBHgMCXXNLqRYPQqxM32kw9vIfOjCjfSp9tfOtjAhkLEJrY8UXFlnw6fHpbzvMpoiVq7znkwouzcflOZE18Shs5GuPkYVSeZ2dDmRF+Am071Vqqv196X6+7eLodGEyxU4EiRaxrdiSpccq8Sz9VuUKfPM0k3vRyEaXSj4Z1rrLmmz4Ow/s0GNgQRAQ5fOR3iVtvLh+nzwdyujINUefu9kx/wCwEeMF5sZHNiKtipKlxyLsSNtBOI6jvHOqzRijNXZetWyJppN1DVN+vfyDMEeB5x8s1kTuxGNxvidoI8KLvbrXCzgnQ6xJ0MbwD2EOAFyosqXDJf8ZoNcjPnZxpLur8jaI9QzVSpGgnJ0klX2A5ys20YGZcT1bcX0+esfyOo2IUeQGOKDulk7yS/h2Hr0aqDWXnMatgq6iDcw59LfwCb2aEepLVuW5g+Rx4iwPOM0dvJnDK5IqqDh3PfouHms9KNsLv2PXTGwsnlCqOKrh2t3t+fSjk+esponTqQejwTt0PZierbCDavodAxhV7AjEyjG5lKNrqD268NZNn6Der0udnNW0FZb3YqvINw6xgQdAR4HvKjOjTK6xAPxK5zj/gd4k7173h425g+Z/0bQUaAB5RXa6peV+GSd6Gaq58g3fttdDo4V/XqV4gb7depZ54zfQ4Q4DAobCFutf10f6dfj1DNVIkGKcRHTxntaHgHqfoGgo4Az1NmptGdDCizIe5GkBtp0/fq2+Vg8SLEzfTh5NvGvKq+mT5H0BHgARa0W5OMbu4yG45OBbnRdnwPbwcYCUS3QtxM1W0GG9cAcwjwPOZGFe5WiEvWg9ypLwBG/zYrmwSNVHPpKku7oeZ02Fppy8mpc1PVN9PnyHPcBx5wQXmoixVG7xEfKlMYtx86ZTuozX6xCPIrRDPdF55Of/CauV986LVWODl17iWmzxEGVOB5zs8qXHJ2utrN8A7Cvd+ZZKtOzQZkf0U++JPtd16EN9U3wuzkyZOKx+OKxWKKxWKKx+M6depU1mveeecdzZ8/X6WlpYpEImpubrbUNwGOJEEPcauCMAYjrGzQslvlOj3NXnTtaH/D2yaqb5ixZMkSNTc3q76+XvX19WpublY8Hs96zZkzZ3T77bfrO9/5jq2+mUIPAbvT6G49XtXMs9L7A9TKlLpducI705cR16fPJ0yQ2tsNnTriunE6/8mJjL83M53uJjNfJlzbtEb1DY/s27dP9fX1ampq0uzZsyVJr7zyiqqrq7V//35NnTo17XX9AX/w4EFb/VOBI4WZ4DI79ex1Jex0f+mWJIJyt4Df681uhTcPbYFTurq6kj49PT222tu+fbtisdhAeEvSnDlzFIvF1NjYaHe4OVGBh4TXVXhltEStXecMnWv2rWVeVONGgzuIa9+RqyuUaDuccjxXFS75U4mb/eLganjbrL6ZPg+e9jPD1H2ZvRnE02cuXV9ZWZl0vLa2VnV1dZbb7ejoUFlZWcrxsrIydXR0WG7XKCpwZORmJS5dClk3KnInwjuou8+NhJ9XlbiZte5+3OsNP7W2tqqzs3Pgs3r16rTn1dXVKRKJZP3s3LlTkhSJRFKuTyQSaY87jQo8RIK6Ft7P6vvDnarIw7JRLYmJdXAz+oPVjWrcqy8IVN9wWjQaVTSa+9+JFStWaPHixVnPmTx5svbu3asjR46k/O7YsWMqLy+3PE6jCPAC4+ZUumQ9xKXUAM4V6HYC20r17eVb3jJNo0vGptL7ORnkdoLbbOXtdXgDg5WWlqq0tDTnedXV1ers7NSHH36o2267TZK0Y8cOdXZ2au7cuW4PkwAPGz8e7OJliA/mVkXt17p3ZEyFEifTh7JZZkJcSg1fI4HuVKXteng7gOobVkyfPl333nuvli1bpvXr10uSHnvsMS1cuDBpB/q0adO0Zs0aPfjgg5KkP/7xj2ppadHhw5f+Pdi/f78kafz48Ro/frzh/lkDL0BWKkmza8ITx48K5AaxXGMK0tp3riCzs57cv36d7eMET8Kb6hs+euutt3TTTTeppqZGNTU1mjlzpt54442kc/bv36/Ozs6Bn3/605/qlltu0f333y9JWrx4sW655Ra9/PLLpvqmAg8hJ6pwK+vhZitxyblq3AlB/EIhydY6uNlK3EthCW+qb9gxduxYvfnmm1nPSSQSST8/8sgjeuSRR2z3TQUOU6xUqEGoxo30n+1vyzRr4fY94EZCLWg7u0dcNy5wYwLyEQEeUk4Eh9VNWVanmf0I8SB8efBCUALT6jiovgHzCPAC50eIexWoZvrxfe07SxgZDTc/Q9xO1c26N2ANa+Ah5tSOdKv3h1tZE+83OFydXiM3+wUhV3h7eftYJtluKxusP0S9Whe386XB8m5zh8Kb6hthR4CHXJhDvJ8TYW61qve68nbyVrJs3AxyJyp9v59vTngjHxDgsM2JEO+XKYj7g93r9WxPq+8cu9GNVuGDDQ5bO2Hu5PS8rfBm6hwYQIDnAb+rcOkvlaxTQT6UG8Ftt/r24y1kVkK8X6YQ7g92L9bQgxDeVN/IF2xiyxNOhYnditP3zWAGGRmnL2vfBkLK6elnr277IrwBZxHgSOFEiAc5yIM8NqP8XkM2I3J1RSDCG8g3BHgecXJK14nqM2hBbmY8blbfOatAg4EVhhC3PUYHw5vqG/mGAM8zQQtxKRgVbxDG4IaghrjtqlsivIEc2MSGrJx6h7jbm9xy9WuGkS8urm9gM/F89P6gtLq5zUmOfaFg2hzIiQDPQ06/ctSpEJeSA9XNMM/XijsbOzvUnejbMQ6HN9U38hUBnqfcCHFJjgW55E6Y2w1ur3aeG3qgi4W3lA0OUrfD3JXpe8IbMIwAz2NOh7jkbDU+2NDgNRroTlbaRsPb0/u/bbxq1I2pdVfX3AlvpNHW1aMrEva+4J/t7nFoNMFCgOe5MIX4YF5PgQfheecZ2QhxKTV0zQS6J5vkXFjvJrxRCAjwAuBWiEvOTqn7JdDh7YJA7VxnsxpgGbeRwZZCCz8np89NVYn5GHQu/U1U3ygUBHiBcHPdtuLKvlAGeejGnS8hPmEC4Q04gAAvIG5vvgpTGAZlrKYDJ+wh7uL4CW8UGgK8wHgR4kEJx0ysjs+Pt4+lFcYQd7HqlghvFCY2sRUgNza1DRXETW5B/2JhSn8Y2tid7gkPvmwQ3ihUVOAFyqtqsr8i9zs87fbv5n8vWwEU1Grc5Yq7H+GNQkYFXsC8qMQH86Mq9/uLgyeCVI17+IWC8EahI8ALXH9l6UeQS+6EudOh7cVshaFHq+biV5D7MAtAeAMEOP7M62q8X7qwNRvqBVFlmzE4UN0Kcx+n7glv4BICHAP8CvGhghTIXu48d6QKH2po0FoJ9ACtsxPewF8Q4EgSlBAPAj9uG3MlxAcLUBibQXADqdiFjhRjig4F555nFDzCG0iPAEdGhRzifv7tBNZf8N8CyIwAR1aFGOJB+JsLPbgiYyoK/r8BwuHkyZOKx+OKxWKKxWKKx+M6depUxvPPnz+vb37zm7rppps0cuRIVVRU6OGHH9bhw+aXzghw5FRIU+qF8ncGGcGNMFmyZImam5tVX1+v+vp6NTc3Kx6PZzz/7Nmz2r17t771rW9p9+7deuedd/S73/1ODzzwgOm+2cQGw/J9g1vQwtv1DW0BQ3AjbPbt26f6+no1NTVp9uzZkqRXXnlF1dXV2r9/v6ZOnZpyTSwWU0NDQ9Kx//iP/9Btt92mlpYWTZw40XD/VOAwJV+r8aD+TYUSaoXyd8JfXV1dSZ+enh5b7W3fvl2xWGwgvCVpzpw5isViamxsNNxOZ2enIpGIRo8ebap/KnBY4scT3NwS1PDul8+VOMGNXD492q2SM/baOHemW5JUWVmZdLy2tlZ1dXWW2+3o6FBZWVnK8bKyMnV0dBgb27lzeuqpp7RkyRJFo1FT/RPgsCXsQR708O6XbyFOcMMPra2tSSFZXFyc9ry6ujo9++yzWdv66KOPJEmRSCTld4lEIu3xoc6fP6/Fixfr4sWLWrduXc7zhyLA4YgwBnlYwrtff+iFOcgJbvgpGo0aqnJXrFihxYsXZz1n8uTJ2rt3r44cOZLyu2PHjqm8vDzr9efPn9dDDz2kAwcO6H/+539MV98SAQ6HhSHIwxbcQ4WxGie4ESalpaUqLS3NeV51dbU6Ozv14Ycf6rbbbpMk7dixQ52dnZo7d27G6/rD+5NPPtH777+vcePGWRonm9jgiv7NbkEKy6CNx46w3CcdlnECVkyfPl333nuvli1bpqamJjU1NWnZsmVauHBh0g70adOm6d1335UkXbhwQV/+8pe1c+dOvfXWW+rr61NHR4c6OjrU29trqn8qcLhucGj6UZnnS2inE8RpdQIbheStt97Sk08+qZqaGknSAw88oBdffDHpnP3796uzs1OS9Omnn+qnP/2pJOnmm29OOu/999/X3/zN3xjumwCHp7wK83wO7XSCEOQENwrR2LFj9eabb2Y9J5FIDPzvyZMnJ/1sBwEO36QLWauhXmiBncngEHU7zAlswF8EOAKFIHbO0IC1E+iENRA8BDhQIAhhIL+wCx0AgBAiwAEACCECHACAECLAAQAIIQIcAIAQIsABAAghAhwAgBAiwAEACCECHACAECLAAQAIIQIcAIAQ4lnoAIDAOtTereIr7L1+s+fsaYdGEyxU4AAAhBABDgBACBHgAACEEAEOAEAIEeAAAIQQAQ4AQAgR4AAAhBABDgBACBHgAACEEAEOAEAIEeAAAIQQAQ4AQAgR4AAAhBABDgBACBHgAACEEAEOAEAIEeAAAFh08uRJxeNxxWIxxWIxxeNxnTp1Kus1dXV1mjZtmkaOHKkxY8bo7rvv1o4dO0z3TYADAGDRkiVL1NzcrPr6etXX16u5uVnxeDzrNddff71efPFF/frXv9YHH3ygyZMnq6amRseOHTPV93A7AwcAICy6urqSfi4uLlZxcbHl9vbt26f6+no1NTVp9uzZkqRXXnlF1dXV2r9/v6ZOnZr2uiVLliT9/Pzzz+u1117T3r17dddddxnunwAHAATWkdZOjSi5YKuN8+fOSJIqKyuTjtfW1qqurs5yu9u3b1csFhsIb0maM2eOYrGYGhsbMwb4YL29vdqwYYNisZj+6q/+ylT/BDgAoCC0trYqGo0O/Gyn+pakjo4OlZWVpRwvKytTR0dH1mt/9rOfafHixTp79qwmTJighoYGlZaWmuqfNXAAQEGIRqNJn0wBXldXp0gkkvWzc+dOSVIkEkm5PpFIpD0+2J133qnm5mY1Njbq3nvv1UMPPaSjR4+a+nuowAEAGGTFihVavHhx1nMmT56svXv36siRIym/O3bsmMrLy7NeP3LkSF177bW69tprNWfOHF133XV67bXXtHr1asPjJMABABiktLTU0HR2dXW1Ojs79eGHH+q2226TJO3YsUOdnZ2aO3euqT4TiYR6enpMXcMUOgAAFkyfPl333nuvli1bpqamJjU1NWnZsmVauHBh0ga2adOm6d1335UknTlzRk8//bSampp06NAh7d69W0uXLtWnn36qr3zlK6b6J8ABALDorbfe0k033aSamhrV1NRo5syZeuONN5LO2b9/vzo7OyVJw4YN08cff6wvfelLuv7667Vw4UIdO3ZM27Zt04033miqb6bQAQCwaOzYsXrzzTeznpNIJAb+d0lJid555x1H+qYCBwAghAhwAABCiAAHACCECHAAAEKIAAcAIIQIcAAAQogABwAghAhwAABCiAAHACCECHAAAEKIAAcAIIQIcAAAQogABwAghHgbGQAgsI61dGp40XlbbVzoPevQaIKFChwAgBAiwAEACCECHACAECLAAQAIIQIcAIAQIsABAAghAhwAgBAiwAEACCECHACAECLAAQAIIQIcAIAQIsABAAghAhwAgBAiwAEACCECHACAECLAAQAIIQIcAACLTp48qXg8rlgsplgspng8rlOnThm+/vHHH1ckEtHatWtN902AAwBg0ZIlS9Tc3Kz6+nrV19erublZ8Xjc0LX//d//rR07dqiiosJS38MtXQUAQIHbt2+f6uvr1dTUpNmzZ0uSXnnlFVVXV2v//v2aOnVqxmvb2tq0YsUKbd26Vffff7+l/qnAAQAFoaurK+nT09Njq73t27crFosNhLckzZkzR7FYTI2NjRmvu3jxouLxuP7pn/5JN954o+X+qcABAIF19sApDRtuL2j7LvxJklRZWZl0vLa2VnV1dZbb7ejoUFlZWcrxsrIydXR0ZLzuX//1XzV8+HA9+eSTlvuWCHAAQIFobW1VNBod+Lm4uDjteXV1dXr22WeztvXRRx9JkiKRSMrvEolE2uOStGvXLr3wwgvavXt3xnOMIsABAAUhGo0mBXgmK1as0OLFi7OeM3nyZO3du1dHjhxJ+d2xY8dUXl6e9rpt27bp6NGjmjhx4sCxvr4+/eM//qPWrl2rgwcP5hxfPwIcAIBBSktLVVpamvO86upqdXZ26sMPP9Rtt90mSdqxY4c6Ozs1d+7ctNfE43HdfffdScfmz5+veDyur33ta6bGSYADAGDB9OnTde+992rZsmVav369JOmxxx7TwoULk3agT5s2TWvWrNGDDz6ocePGady4cUntjBgxQuPHj8+6az0ddqEDAGDRW2+9pZtuukk1NTWqqanRzJkz9cYbbySds3//fnV2djreNxU4AAAWjR07Vm+++WbWcxKJRNbfm1n3HowKHACAECLAAQAIIQIcAIAQIsABAAghAhwAgBAiwAEACCECHACAECLAAQAIIQIcAIAQIsABAAghAhwAgBAiwAEACCFfXmbS/2D37q4zfnQPuO78+bN+DwFwVVf3pf+P53pRh119F/4UiDaCyJcA7+7uliRdN2W+H90DABzS3d2tWCzmeLtFRUUaP368mn/xfxxpb/z48SoqKnKkraCIJNz++pTGxYsXdfjwYY0aNUqRSMTr7gEANiUSCXV3d6uiokKXXebOauy5c+fU29vrSFtFRUUqKSlxpK2g8CXAAQCAPWxiAwAghAhwAABCiAAHACCECHAAAEKIAAcAIIQIcMCmTZs2qaSkRG1tbQPHli5dqpkzZ6qzs9PHkQHIZ9xGBtiUSCR08803a968eXrxxRf17LPP6tVXX1VTU5Ouvvpqv4cHIE/58iQ2IJ9EIhH9y7/8i7785S+roqJCL7zwgrZt2zYQ3g8++KB+/vOf66677tKPf/xjn0cLIF9QgQMOufXWW/Wb3/xG7733nu64446B4++//75Onz6t//zP/yTAATiGNXDAAVu3btXHH3+svr4+lZeXJ/3uzjvv1KhRo3waGYB8RYADNu3evVtf+cpXtH79es2fP1/f+ta3/B4SgALAGjhgw8GDB3X//ffrqaeeUjwe1w033KDPfe5z2rVrl6qqqvweHoA8RgUOWPTHP/5RCxYs0AMPPKCnn35aklRVVaXPf/7zeuaZZ3weHYB8RwUOWDR27Fjt27cv5fhPfvITH0YDoNCwCx1w2fz587V7926dOXNGY8eO1bvvvqvPfe5zfg8LQMgR4AAAhBBr4AAAhBABDgBACBHgAACEEAEOAEAIEeAAAIQQAQ4AQAgR4AAAhBABDgBACBHgAACEEAEOAEAIEeAAAITQ/wNtGGgp9fnTtAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 填充等高线\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "CS = ax.contourf(xx1, xx2, ff, levels = 20,\n",
    "                 cmap = 'RdYlBu_r')\n",
    "\n",
    "fig.colorbar(CS)\n",
    "ax.set_xlabel('$\\it{x_1}$'); ax.set_ylabel('$\\it{x_2}$')\n",
    "ax.set_xticks([]); ax.set_yticks([])\n",
    "ax.set_xlim(xx1.min(), xx1.max())\n",
    "ax.set_ylim(xx2.min(), xx2.max())\n",
    "ax.grid(False)\n",
    "ax.set_aspect('equal', adjustable='box')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
